Exact solution of the minimalist Stark many body localization problem in terms of spin pair hopping
arXiv:2110.08965 · doi:10.1103/PhysRevB.105.184206
Abstract
Stark many body localization problem on a periodic spin chain with local four spin hopping conserving dipole moment becomes equivalent to a spin pair hopping model after overturn of spins in odd or even positions. Eigenstates of the latter problem are separated into four groups including two groups of delocalized states with translationally invariant unrestricted (group I) or restricted (group II) Krylov subspaces and other two with confined spin transport having either all mobile (group III) or some immobile spins (group IV). These groups can be examined experimentally in systems like those recently investigated in Refs. [1, 2].
4 pages plus supplement, corrections are added in the updated version. Comments are welcome
References in corpus (13)
- Localization of interacting fermions at high temperature
- Signatures of Many-Body Localization in a Controlled Open Quantum System
- Many-body localization dynamics from gauge invariance
- Interferometric probes of many-body localization
- Dynamics in many-body localized quantum systems without disorder
- Many-Body Delocalization in Strongly Disordered System with Long-Range Interactions: Finite Size Scaling
- Half-Filled Lowest Landau Level on a Thin Torus
- Scenario for delocalization in translation invariant systems
- Stark many-body localization: Evidence for Hilbert-space shattering
- Localized systems coupled to small baths: from A to Z
- Nonlinear delocalization on disordered Stark ladder
- Spin-chain description of fractional quantum Hall states in the Jain series
- Dynamics of Negativity of a Wannier-Stark Many-Body Localized System Coupled to a Bath